Derivative Analysis of Schrodinger Wave Equation based on Theory of Particle in a Box

Abstract

Schrodinger wave equation is basically a partial differential equation applicable to linear systems, which more specifically describes about the wave function  of quantum mechanical related systems. In this paper, much focus is emphasized on explaining about a particle which is inside a 1-dimensional box is considered to be as a fundamental and quantum mechanical related approximation usually describing about the translatory motion of a single-particle which is confined inside a deep well from which it cannot be escaped further respectively.